en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=9y

Solution

y^{^{'}} = 9 y

Solution

y = e^{9 t + c_{1}}

Solution steps

y^{'} (t) = 9 y

Solve separable ODE:

y = e^{9 t + c_{1}}

y = e^{9 t + c_{1}}

Graph

Popular Examples

(dy)/(dx)=((1+y^2))/((1+x^2))

\frac{d y}{d x} = \frac{( 1 + y ^{2} )}{( 1 + x ^{2} )}

y^'=2y-1,y(0)= 3/2

y^{^{'}} = 2 y - 1, y (0) = \frac{3}{2}

(dy)/(dx)=(-1)/(x^2y^2),y(1)=2

\frac{d y}{d x} = \frac{- 1}{x ^{2} y ^{2}}, y (1) = 2

y^'=5t^3y^{1/5}

y^{^{'}} = 5 t^{3} y^{\frac{1}{5}}

y^{^{'}} - 18 x y = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=9y ?
The solution for y^'=9y is y=e^{9t+c_{1}}